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Finding the Fourth Proportional to 29,822.75, 44,734.40 and 9,046.25

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Solution

The fourth proportional to 29,822.75, 44,734.40 and 9,046.25 is: 13,569.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,822.75 : 44,734.40 = 9,046.25 : x
  2. Step 2: Convert to fraction form
    29,822.75/44,734.40 = 9,046.25/x
  3. Step 3: Cross multiply
    29,822.75x = 44,734.40 × 9,046.25
  4. Step 4: Simplify right side
    29,822.75x = 404,678,520.77
  5. Step 5: Solve for x
    x = 404,678,520.77/29,822.75
  6. Step 6: Final answer
    x = 13,569.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.